Suppose that you performed the following hypothesis test: H subscript O colon space p subscript 1 equals 0.4 semicolon space p subscript 2 equals 0.25 semicolon space p subscript 3 equals space 0.35 H subscript A colon space NOT thin space H subscript O and that you got a Test Statistic (TS) that. yielded a PValue (PV) = 0.045. If you ran this hypothesis test with a value of alpha = 0.05, which of the following choices gives the correct Decision and Conclusion? A. Since the PV is less than alpha, I Fail to Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values. B. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that the population proportions are NOT significantly different from their null-hypothesized values. C. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values. D. Since the PV is less than alpha, I Fail to Reject the Null hypothesis and conclude that the population proportions are NOT significantly different from their null-hypothesized values.
Suppose that you performed the following hypothesis test:
H subscript O colon space p subscript 1 equals 0.4 semicolon space p subscript 2 equals 0.25 semicolon space p subscript 3 equals space 0.35
H subscript A colon space NOT thin space H subscript O
and that you got a Test Statistic (TS) that. yielded a PValue (PV) = 0.045.
If you ran this hypothesis test with a value of alpha = 0.05, which of the following choices gives the correct Decision and Conclusion?
A. Since the PV is less than alpha, I Fail to Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values.
B. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that the population proportions are NOT significantly different from their null-hypothesized values.
C. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values.
D. Since the PV is less than alpha, I Fail to Reject the Null hypothesis and conclude that the population proportions are NOT significantly different from their null-hypothesized values.
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